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Simplifying -3v + 20 = 8(v + -3) Reorder the terms: 20 + -3v = 8(v + -3) Reorder the terms: 20 + -3v = 8(-3 + v) 20 + -3v = (-3 * 8 + v * 8) 20 + -3v = (-24 + 8v) Solving 20 + -3v = -24 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 20 + -3v + -8v = -24 + 8v + -8v Combine like terms: -3v + -8v = -11v 20 + -11v = -24 + 8v + -8v Combine like terms: 8v + -8v = 0 20 + -11v = -24 + 0 20 + -11v = -24 Add '-20' to each side of the equation. 20 + -20 + -11v = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -11v = -24 + -20 -11v = -24 + -20 Combine like terms: -24 + -20 = -44 -11v = -44 Divide each side by '-11'. v = 4 Simplifying v = 4
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